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Simplifying K(x2 + -8x + 16) = 0 Reorder the terms: K(16 + -8x + x2) = 0 (16 * K + -8x * K + x2 * K) = 0 (16K + -8xK + x2K) = 0 Solving 16K + -8xK + x2K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'K'. K(16 + -8x + x2) = 0 Factor a trinomial. K((4 + -1x)(4 + -1x)) = 0Subproblem 1
Set the factor 'K' equal to zero and attempt to solve: Simplifying K = 0 Solving K = 0 Move all terms containing K to the left, all other terms to the right. Simplifying K = 0Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing K to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing K to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
K = {0}
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